Multiplicative maps of matrices over rings

DOI10.1080/00927872.2022.2074026OpenAlexW4280587411MaRDI QIDQ5097413

Zhenqiang Zhou

Publication date: 23 August 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2074026

zbMATH Keywords

ringadditivitymultiplicative isomorphism

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Linear preserver problems (15A86)

Cites Work

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• Maps on matrix spaces
• Additivity of Jordan maps on standard Jordan operator algebras
• Multiplicative mappings of operator algebras
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• Representations, automorphisms, and derivations of some operator algebras
• Rings of operators on vector spaces
• Additivity of maps preserving productsAP±PA^*onC^*-algebras
• The Additivity of Multiplicative Maps on Rings
• MULTIPLICATIVE CLASSIFICATION OF ASSOCIATIVE RINGS
• Linear transformations on matrices: rank preservers and determinant preservers (Note)
• Elementary Operators on Standard Operator Algebras
• Isomorphisms of Standard Operator Algebras
• When are Multiplicative Mappings Additive?
• One-to-one mappings of rings and lattices
• On isomorphisms of rings of linear operators

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